(The green linked lessons can be clicked on to see the lesson and are included in the Basic Membership!)

### The Factor Theorem

- Q3 If x+a is a Factor of a Cubic function then the value of ‘a’ is?
- Q3 If x+a is a Factor of a Cubic function then the value of ‘a’ is?

### The Remainder Theorem

### Finding Coefficients

### Finding Factors

- Q9 Find the linear Factors of a quartic polynomial.
- Q9 Which one of the following is a complete set of linear factors of the third degree polynomial?
- Q6 Which one of the following is not a Factor of the quartic function?

### Finding Pronumerals

- Q13 Find the values of P and Q given a section of the graph of a quadratic equation.
- Q10 Find the value of ‘k’ when the linear and quadratic graphs intersect at two distinct points.
- Q18 Find the value of ‘k’ when the linear and quadratic graphs intersect at two distinct points.
- Q6 For the polynomial P(x), P(3)=10, the value of ‘a’ equals?
- Q21 The graphs of the two equations will have no points of intersection for all the values of m,c and a, such that…

### Finding The Rule of The Equation

- Q1 Find the rule of the graph shown.
- Q7 Find the rule of the graph shown.
- Q4 Part of the graph is shown. A possible equation for the rule of the graph is…
- Q1 A section of the graph of a function is shown, Which one of the following could be the rule of the function?
- Q14 Using the information provided, find the possible rule of the polynomial function.
- Q16 Part of the graph of the function f is shown, the rule is most likely to be…
- Q3 The rule for a function with the graph shown above could be…

### Inverse Functions

### Inverse Functions

- Q3 Write down the rule of the two functions that could be added to make the single function, find the exact value of the roots of f(x)=0
- Q20 Find the number of solutions to the equation p(x)=0
- Q7 The equation has no real roots when which of the equations equals zero.

The video below has my solution to Question 18 from the 2014 VCAA Maths Methods Multi-Choice exam. This type of question relies on an understanding of the discriminant and when to use it. You need good algebra skills to get the correct answer – 53% of students answered it correctly.